What is the Greatest Common Factor of 77584 and 77597?

Greatest common factor (GCF) of 77584 and 77597 is 13.

GCF(77584,77597) = 13

We will now calculate the prime factors of 77584 and 77597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77584 and 77597.

How to find the GCF of 77584 and 77597?

We will first find the prime factorization of 77584 and 77597. After we will calculate the factors of 77584 and 77597 and find the biggest common factor number .

Step-1: Prime Factorization of 77584

Prime factors of 77584 are 2, 13, 373. Prime factorization of 77584 in exponential form is:

77584 = 2⁴ × 13¹ × 373¹

Step-2: Prime Factorization of 77597

Prime factors of 77597 are 13, 47, 127. Prime factorization of 77597 in exponential form is:

77597 = 13¹ × 47¹ × 127¹

Step-3: Factors of 77584

List of positive integer factors of 77584 that divides 77584 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 373, 746, 1492, 2984, 4849, 5968, 9698, 19396, 38792

Step-4: Factors of 77597

List of positive integer factors of 77597 that divides 77584 without a remainder.

1, 13, 47, 127, 611, 1651, 5969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77584 and 77597. The biggest common factor number is the GCF number.
So the greatest common factor 77584 and 77597 is 13.

Also check out the Least Common Multiple of 77584 and 77597